Kränkl, Susanne: Non-leptonic B decays in QCD factorizationNicht-leptonische B-Zerfälle in QCD Faktorisierung. 2015
Inhalt
- Abstract
- Contents
- Introduction
- Exclusive Non-leptonic B Decays
- NNLO corrections to the decay BD
- Soft Collinear Effective Theory and Matching
- Simplification of the Two-loop Amplitudes
- Passarino-Veltman Decomposition
- Scalar Integrals
- Integration by Part Identities and Laporta Algorithm
- Reduction of Dirac Matrices to Operators
- Evaluation of the Master Integrals
- The Master Integrals
- Feynman Parameters and Hypergeometric Functions
- Mellin-Barnes Representation
- Differential Equations
- Differential Equations and Canonical Basis
- Checks
- Results and Phenomenological Applications
- B in QCD factorization
- Three-body Decays from QCD
- Identifying Regions in the Dalitz Plot
- Factorization Formula
- Generalized Form Factors and Distribution Amplitudes
- The Central Region of the Dalitz Plot
- The Collinear Regions of the Dalitz Plot
- Reconstructing the Dalitz Plot
- Conclusion and Outlook
- Appendix
- Laporta Reduction of a Sample Feynman Diagram
- Reduction of the bold0mu mumu dest-matrix Algebra to Operators
- Part I: Simplification by a Mathematica Routine
- Part II: Reduction to Known Operators
- Examples for the Reduction
- Results for the Master Integrals
- Examples of Evaluating Master Integrals
- Hypergeometric Functions: M15
- MB Representations: M23 and M18
- Differential Equations: M4 and M5
- Canonical Basis: M6 and M7
- Useful Identities and Definitions for Evaluating Integrals
- Results for the Feynman Diagrams in the Central Region of the Dalitz Plot
- Bibliography
- Publications and Proceedings
- Acknowledgements